Modular data: the algebraic combinatorics of conformal field theory
arXiv:math/0103044
Abstract
This paper is primarily intended as an introduction for the mathematically inclined to some of the rich algebraic combinatorics arising in for instance CFT. It is essentially self-contained, apart from some of the background motivation and examples which are included to give the reader a sense of the context. The theory is still a work-in-progress, and emphasis is given here to several open questions and problems.
37 pages
References in corpus (7)
- Simple currents and extensions of vertex operator algebras
- Finite Group Modular Data
- Fusion rules and logarithmic representations of a WZW model at fractional level
- Berenstein-Zelevinsky triangles, elementary couplings and fusion rules
- Deformations of (Bi) tensor Categories
- Conformal, Integrable and Topological Theories, Graphs and Coxeter Groups
- W-Strings on Group Manifolds